Efficient iterative methods for multi-frequency wave propagation problems

A comparison study

Conference Paper (2017)
Author(s)

Manuel Baumann (TU Delft - Numerical Analysis)

Martin Van Gijzen (TU Delft - Numerical Analysis)

Research Group
Numerical Analysis
Copyright
© 2017 M.M. Baumann, M.B. van Gijzen
More Info
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Publication Year
2017
Language
English
Copyright
© 2017 M.M. Baumann, M.B. van Gijzen
Research Group
Numerical Analysis
Pages (from-to)
645-654
Reuse Rights

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Abstract

In this paper we present a comparison study for three different iterative Krylov methods that we have recently developed for the simultaneous numerical solution of wave propagation problems at multiple frequencies. The three approaches have in common that they require the application of a single shift-and-invert preconditioner at a suitable seed frequency. The focus of the present work, however, lies on the performance of the respective iterative method. We conclude with numerical examples that provide guidance concerning the suitability of the three methods.